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3254512768 = 2713371163
BaseRepresentation
bin1100000111111011…
…1110110010000000
322101210221101012221
43001332332302000
523131123402033
61254535300424
7143435621263
oct30176766200
98353841187
103254512768
1114200a6681
12769b1a714
133cb347000
1422c338cda
15140aba12d
hexc1fbec80

3254512768 has 128 divisors (see below), whose sum is σ = 7166275200. Its totient is φ = 1471841280.

The previous prime is 3254512727. The next prime is 3254512769. The reversal of 3254512768 is 8672154523.

3254512768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3254512769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19966255 + ... + 19966417.

It is an arithmetic number, because the mean of its divisors is an integer number (55986525).

Almost surely, 23254512768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3254512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583137600).

3254512768 is an abundant number, since it is smaller than the sum of its proper divisors (3911762432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3254512768 is an equidigital number, since it uses as much as digits as its factorization.

3254512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 249 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 3254512768 is about 57048.3371186225. The cubic root of 3254512768 is about 1481.9333098132.

The spelling of 3254512768 in words is "three billion, two hundred fifty-four million, five hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 163 169 208 284 326 338 416 568 652 676 832 923 1136 1304 1352 1664 1846 2119 2197 2272 2608 2704 3692 4238 4394 4544 5216 5408 7384 8476 8788 9088 10432 10816 11573 11999 14768 16952 17576 20864 21632 23146 23998 27547 29536 33904 35152 46292 47996 55094 59072 67808 70304 92584 95992 110188 118144 135616 140608 150449 155987 185168 191984 220376 271232 281216 300898 311974 358111 370336 383968 440752 601796 623948 716222 740672 767936 881504 1203592 1247896 1432444 1481344 1535872 1763008 1955837 2407184 2495792 2864888 3526016 3911674 4814368 4991584 5729776 7823348 9628736 9983168 11459552 15646696 19257472 19966336 22919104 25425881 31293392 45838208 50851762 62586784 101703524 125173568 203407048 250347136 406814096 813628192 1627256384 3254512768